Lower and Upper Solutions for Sequential Fractional Differential Systems by Monotone Iterative Techniques

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DOI: https://doi.org/10.28924/2291-8639-24-2026-62
Published: Mar 12, 2026
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Hasanen A. Hammad, Manuel De la Sen, Lower and Upper Solutions for Sequential Fractional Differential Systems by Monotone Iterative Techniques, Int. J. Anal. Appl., 24 (2026), 62.

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Hasanen A. Hammad, Manuel De la Sen

Abstract

This paper delves into the theoretical investigation of extremal solutions for a coupled sequential Caputo fractional differential system. We employ functional analysis to rigorously prove the existence of these solutions, combining the monotone iterative technique with the method of upper and lower solutions to establish sufficient conditions for finding the minimal and maximal solutions. To validate our theoretical results, we provide two illustrative examples.

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